MathDB
Problems
Contests
National and Regional Contests
India Contests
ISI Entrance Examination
2015 ISI Entrance Examination
8
Find all functions with the following property
Find all functions with the following property
Source: ISI Entrance 2015
May 10, 2015
function
algebra
functional equation
Problem Statement
Find all the functions
f
:
R
→
R
f:\mathbb{R} \rightarrow \mathbb{R}
f
:
R
→
R
such that
∣
f
(
x
)
−
f
(
y
)
∣
=
2
∣
x
−
y
∣
|f(x)-f(y)| = 2 |x - y|
∣
f
(
x
)
−
f
(
y
)
∣
=
2∣
x
−
y
∣
Back to Problems
View on AoPS